Quantum simulations of particle scattered by a rectangular potential

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Wydawnictwo Politechniki Łódzkiej
Lodz University of Technology. Press


In this paper we examine whether a quantum computer can efficiently simulate time evolution of a one dimensional Schrödinger particle. Two cases are considered: free particle and particle dispersed on a rectangular potential. In order to simulate the Schrödinger particle, we use a quantum algorithm based on the procedure of diagonalisation of time evolution operator. The procedure of diagonalisation is based on the Quantum Fourier Transform (QFT) algorithm. The effects of simulation are presented in the form of figures. We also compare the results obtained from quantum algorithm with the results of classical simulations (Cayley's method).


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Journal of Applied Computer Science., 2012 Vol.20 nr 2 s.95-106